Continuous compounding is the process of calculating interest and adding it to existing principal and interest at infinitely short time intervals. When interest is added to the principal, compound interest arise.
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preparing medication for a specific patient
What is a CONTINUOUS VARIABLE?!? If you mean a CONSTANT, then yes. Read your text. (signed) Your Teacher
You would use a compounding interest calculator in order to determine how quickly a certain amount of money will grow due to compounding interest. It is useful for determining how much to save and invest over several years.
I think there is confusion between the terms "compounding variable" and "confounding variable". My way of looking at it is that compounding variables describe elements of mathematical functions, only. Confounding variables apply to any research in any domain and are external variables to the research design which might impact on the dependent variable to a lesser or greater extent than the independent variable, which are part of the research design. I am Peter Davies at classmeasures@aol.com
I think most banks use daily compounding, but you could use the continuous compounding to approximate daily compounding and be off by less than 0.2%
I think most banks use daily compounding, but you could use the continuous compounding to approximate daily compounding and be off by less than 0.2%
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Nine years at 8%
preparing medication for a specific patient
The answer, assuming compounding once per year and using generic monetary units (MUs), is MU123. In the first year, MU1,200 earning 5% generates MU60 of interest. The MU60 earned the first year is added to the original MU1,200, allowing us to earn interest on MU1,260 in the second year. MU1,260 earning 5% generates MU63. So, MU60 + MU63 is equal to MU123. The answers will be different assuming different compounding periods as follows: Compounding Period Two Years of Interest No compounding MU120.00 Yearly compounding MU123.00 Six-month compounding MU124.58 Quarterly compounding MU125.38 Monthly compounding MU125.93 Daily compounding MU126.20 Continuous compounding MU126.21
mechanics and compounding
It all depends with the amount of the annual or daily compounding. In most cases it is however the daily compounding that pays more than the annual compounding.
100000
The "13 percent rate" is the equivalent annual rate. So the interest will be 130.
By definition a continuous signal is just that continuous to have no amplitude is to mean it doesn't exists
That depends on how often it is compounded. For annual compounding, you have $100 * (1 + 5%)2 = $100 * (1.05)2 = $100*1.1025 = $110.25This works because at the end of the first compounding period (year), you've earned interest on the amount at the beginning of the compounding period. At the end of the first year, you have $105.00, and the same at the beginning of the second year. At the end of the second compounding period, you have earned 5%interest on the $105.00 so it is $105 * (1.05) = $100*(1.05)*(1.05) or $100 * 1.052.Compounding more often, will yield a higher number, but not much over a 2 year period. Compounding continuously, for example is $100 * e(2*.05) = $100 * e(.1)= $100 * e(.1) = $100 * 1.10517 = $110.52 (27 cents more).Compounding daily will be close to the continuous function, and compounding monthly or quarterly will be between $110.25 and $110.52